Finding the Third Proportional to 75,880 and 109,300

Step by Step Solution

1. Step 1: Write the proportion equation
   75,880 : 109,300 = 109,300 : x
2. Step 2: Convert to fraction form
   75,880/109,300 = 109,300/x
3. Step 3: Cross multiply
   75,880x = 109,300 × 109,300
4. Step 4: Simplify right side
   75,880x = 11,946,490,000
5. Step 5: Solve for x
   x = 11,946,490,000/75,880
6. Step 6: Final answer
   x = 157,439.25